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Simplifying 24 = -7(-1v + -4) + -6(v + 1) Reorder the terms: 24 = -7(-4 + -1v) + -6(v + 1) 24 = (-4 * -7 + -1v * -7) + -6(v + 1) 24 = (28 + 7v) + -6(v + 1) Reorder the terms: 24 = 28 + 7v + -6(1 + v) 24 = 28 + 7v + (1 * -6 + v * -6) 24 = 28 + 7v + (-6 + -6v) Reorder the terms: 24 = 28 + -6 + 7v + -6v Combine like terms: 28 + -6 = 22 24 = 22 + 7v + -6v Combine like terms: 7v + -6v = 1v 24 = 22 + 1v Solving 24 = 22 + 1v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-1v' to each side of the equation. 24 + -1v = 22 + 1v + -1v Combine like terms: 1v + -1v = 0 24 + -1v = 22 + 0 24 + -1v = 22 Add '-24' to each side of the equation. 24 + -24 + -1v = 22 + -24 Combine like terms: 24 + -24 = 0 0 + -1v = 22 + -24 -1v = 22 + -24 Combine like terms: 22 + -24 = -2 -1v = -2 Divide each side by '-1'. v = 2 Simplifying v = 2
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